12 citations · 18 across the 10 of their papers we have counts for
11 papers
Dynamics of meandering spiral waves with weak lattice perturbations
Petko Kitanov, Victor G. LeBlanc
Re-entrant spiral waves are observed in many different situations in nature, perhaps most importantly in excitable electrophysiological tissue where they are believed to be respons…
A degenerate Hopf bifurcation in retarded functional differential equations, and applications to endemic bubbles
Victor G. LeBlanc
In this paper, we study degenerate Hopf bifurcations in a class of parametrized retarded functional differential equations. Specifically, we are interested in the case where the ei…
Lattice symmetry breaking perturbations for spiral waves
Laurent Charette, Victor G. LeBlanc
Spiral waves in two-dimensional excitable media have been observed experimentally and studied extensively. It is now well-known that the symmetry properties of the medium of propag…
Zero-Hopf bifurcation in the Van der Pol oscillator with delayed position and velocity feedback
Jason Bramburger, Benoit Dionne, Victor LeBlanc
In this paper, we consider the traditional Van der Pol Oscillator with a forcing dependent on a delay in feedback. The delay is taken to be a nonlinear function of both position an…
Realizability of the normal form for the triple-zero nilpotency in a class of delayed nonlinear oscillators
Victor G. LeBlanc
The effects of delayed feedback terms on nonlinear oscillators has been extensively studied, and have important applications in many areas of science and engineering. We study a pa…
Forced translational symmetry-breaking for abstract evolution equations: the organizing center for blocking of travelling waves
Victor G LeBlanc, Christian Roy
We consider two parameter families of differential equations on a Banach space X, where the parameters c and are such that: (1) when , the differential equations are symme…